Finite Group Databasebeta

← Group #13151104

Character table — Group #13151104

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1122222224444444412121212224444444888888882424242422444444488888888242424242244444448888888824242424224444444888888882424242499181818181818183636363636363636108108108108
order12234466622666612122488366312126666666661212612242491818936361818181818181818183636183672729181893636181818181818181818363618367272918189363618181818181818181836361836727222264466622666612122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1
χ3111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1
χ4111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111
χ511-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-1
χ611-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-11
χ711-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-11
χ811-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-1
χ92222-2-2222000000-2-200002222-2-2222000000-2-200002222-2-2222000000-2-200002222-2-2222000000-2-200002222-2-2222000000-2-200002222-2-2222000000-2-20000
χ10222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000
χ11222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000
χ12222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000
χ13222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000
χ1422-222-2-2-22000000-22000022-222-2-2-22000000-22000022-222-2-2-22000000-22000022-222-2-2-22000000-22000022-222-2-2-22000000-22000022-222-2-2-22000000-220000
χ1522-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-10000
χ1622-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-10000
χ1722-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-110000
χ1822-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-110000
χ194-4040000-40000000000004-4040000-40000000000004-4040000-40000000000004-4040000-40000000000004-4040000-40000000000004-4040000-4000000000000
χ204-40-2002i3−2i320000000000004-40-2002i3−2i320000000000004-40-2002i3−2i320000000000004-40-2002i3−2i320000000000004-40-2002i3−2i320000000000004-40-2002i3−2i32000000000000
χ214-40-200−2i32i320000000000004-40-200−2i32i320000000000004-40-200−2i32i320000000000004-40-200−2i32i320000000000004-40-200−2i32i320000000000004-40-200−2i32i32000000000000
χ22111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2311111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ24111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ25111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ2611-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-111-11-11-1-111-111-1-11-11-11-1-1-11-11-111-1-11-1-111-11-11-11
χ2711-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-1111-11-11-1-111-111-1-11-1-11-11-1-11-11-111-1-11-1-111-111-11-1
χ2811-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-1111-11-11-1-11-11-1-1111-11-1-11-1-11-11-111-11-111-1-1-11-111-1
χ2911-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-111-11-11-1-11-11-1-1111-1-111-1-1-11-11-111-11-111-1-1-111-1-11
χ302222-2-2222000000-2-200002222-2-2222000000-2-200002222-2-2222000000-2-200002222-2-2222000000-2-200002222-2-2222000000-2-20000-2-2-2-222-2-2-2000000220000
χ31222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000222-122-1-1-122-1-1-1-1-1-10000-2-2-21-2-2111-2-21111110000
χ32222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000222-122-1-1-1-2-21111-1-10000-2-2-21-2-211122-1-1-1-1110000
χ33222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000222-1-2-2-1-1-100i3−i3i3−i3110000-2-2-212211100−i3i3−i3i3-1-10000
χ34222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000222-1-2-2-1-1-100−i3i3−i3i3110000-2-2-212211100i3−i3i3−i3-1-10000
χ3522-222-2-2-22000000-22000022-222-2-2-22000000-22000022-222-2-2-22000000-22000022-222-2-2-22000000-22000022-222-2-2-22000000-220000-2-22-2-2222-20000002-20000
χ3622-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-1000022-2-12-211-100i3−i3−i3i31-10000-2-221-22-1-1100−i3i3i3−i3-110000
χ3722-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-1000022-2-12-211-100−i3i3i3−i31-10000-2-221-22-1-1100i3−i3−i3i3-110000
χ3822-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-11000022-2-1-2211-12-2-1-111-110000-2-2212-2-1-11-2211-1-11-10000
χ3922-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-11000022-2-1-2211-1-2211-1-1-110000-2-2212-2-1-112-2-1-1111-10000
χ404-4040000-40000000000004-4040000-40000000000004-4040000-40000000000004-4040000-40000000000004-4040000-4000000000000-440-400004000000000000
χ414-40-2002i3−2i320000000000004-40-2002i3−2i320000000000004-40-2002i3−2i320000000000004-40-2002i3−2i320000000000004-40-2002i3−2i32000000000000-440200−2i32i3-2000000000000
χ424-40-200−2i32i320000000000004-40-200−2i32i320000000000004-40-200−2i32i320000000000004-40-200−2i32i320000000000004-40-200−2i32i32000000000000-4402002i3−2i3-2000000000000
χ43222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000
χ4422222222222222222-2-2-2-222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000
χ45222222222-2-2-2-2-2-22222-2-2222222222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111000000000000000000000
χ46222222222-2-2-2-2-2-222-2-222222222222-2-2-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1000000000000000000000
χ4722-22-22-2-222-222-2-22-22-22-222-22-22-2-222-222-2-22-22-22-2-1-11-11-111-1-11-1-111-11-11-11-1-11-11-111-1-11-1-111-11-11-11-1-11-11-111-1-11-1-111-11-11-11000000000000000000000
χ4822-22-22-2-222-222-2-22-2-22-2222-22-22-2-222-222-2-22-2-22-22-1-11-11-111-1-11-1-111-111-11-1-1-11-11-111-1-11-1-111-111-11-1-1-11-11-111-1-11-1-111-111-11-1000000000000000000000
χ4922-22-22-2-22-22-2-2222-22-2-2222-22-22-2-22-22-2-2222-22-2-22-1-11-11-111-11-111-1-1-11-111-1-1-11-11-111-11-111-1-1-11-111-1-1-11-11-111-11-111-1-1-11-111-1000000000000000000000
χ5022-22-22-2-22-22-2-2222-2-222-222-22-22-2-22-22-2-2222-2-222-2-1-11-11-111-11-111-1-1-111-1-11-1-11-11-111-11-111-1-1-111-1-11-1-11-11-111-11-111-1-1-111-1-11000000000000000000000
χ514444-4-4444000000-4-400004444-4-4444000000-4-40000-2-2-2-222-2-2-2000000220000-2-2-2-222-2-2-2000000220000-2-2-2-222-2-2-2000000220000000000000000000000000
χ52444-244-2-2-244-2-2-2-2-2-20000444-244-2-2-244-2-2-2-2-2-20000-2-2-21-2-2111-2-21111110000-2-2-21-2-2111-2-21111110000-2-2-21-2-2111-2-21111110000000000000000000000000
χ53444-244-2-2-2-4-42222-2-20000444-244-2-2-2-4-42222-2-20000-2-2-21-2-211122-1-1-1-1110000-2-2-21-2-211122-1-1-1-1110000-2-2-21-2-211122-1-1-1-1110000000000000000000000000
χ54444-2-4-4-2-2-2002i3−2i32i3−2i3220000444-2-4-4-2-2-2002i3−2i32i3−2i3220000-2-2-212211100−i3i3−i3i3-1-10000-2-2-212211100−i3i3−i3i3-1-10000-2-2-212211100−i3i3−i3i3-1-10000000000000000000000000
χ55444-2-4-4-2-2-200−2i32i3−2i32i3220000444-2-4-4-2-2-200−2i32i3−2i32i3220000-2-2-212211100i3−i3i3−i3-1-10000-2-2-212211100i3−i3i3−i3-1-10000-2-2-212211100i3−i3i3−i3-1-10000000000000000000000000
χ5644-444-4-4-44000000-44000044-444-4-4-44000000-440000-2-22-2-2222-20000002-20000-2-22-2-2222-20000002-20000-2-22-2-2222-20000002-20000000000000000000000000
χ5744-4-24-422-2002i3−2i3−2i32i32-2000044-4-24-422-2002i3−2i3−2i32i32-20000-2-221-22-1-1100−i3i3i3−i3-110000-2-221-22-1-1100−i3i3i3−i3-110000-2-221-22-1-1100−i3i3i3−i3-110000000000000000000000000
χ5844-4-24-422-200−2i32i32i3−2i32-2000044-4-24-422-200−2i32i32i3−2i32-20000-2-221-22-1-1100i3−i3−i3i3-110000-2-221-22-1-1100i3−i3−i3i3-110000-2-221-22-1-1100i3−i3−i3i3-110000000000000000000000000
χ5944-4-2-4422-24-4-2-222-22000044-4-2-4422-24-4-2-222-220000-2-2212-2-1-11-2211-1-11-10000-2-2212-2-1-11-2211-1-11-10000-2-2212-2-1-11-2211-1-11-10000000000000000000000000
χ6044-4-2-4422-2-4422-2-2-22000044-4-2-4422-2-4422-2-2-220000-2-2212-2-1-112-2-1-1111-10000-2-2212-2-1-112-2-1-1111-10000-2-2212-2-1-112-2-1-1111-10000000000000000000000000
χ618-8080000-80000000000008-8080000-8000000000000-440-400004000000000000-440-400004000000000000-440-400004000000000000000000000000000000000
χ628-80-4004i3−4i340000000000008-80-4004i3−4i34000000000000-440200−2i32i3-2000000000000-440200−2i32i3-2000000000000-440200−2i32i3-2000000000000000000000000000000000
χ638-80-400−4i34i340000000000008-80-400−4i34i34000000000000-4402002i3−2i3-2000000000000-4402002i3−2i3-2000000000000-4402002i3−2i3-2000000000000000000000000000000000
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χ11022-22-22-2-222-222-2-22-22-22-2-1-11-11-111-1-11-1-111-11-11-11ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7000000000000000000000
χ11122-22-22-2-222-222-2-22-2-22-22-1-11-11-111-1-11-1-111-111-11-1ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7000000000000000000000
χ11222-22-22-2-22-22-2-2222-22-2-22-1-11-11-111-11-111-1-1-11-111-1ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7000000000000000000000
χ11322-22-22-2-22-22-2-2222-2-222-2-1-11-11-111-11-111-1-1-111-1-11ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7000000000000000000000
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χ116444-244-2-2-2-4-42222-2-20000-2-2-21-2-211122-1-1-1-11100002ζ4+2ζ52ζ4+2ζ52ζ4+2ζ5−ζ4−ζ52ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5−2ζ4−2ζ5−2ζ4−2ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ500002ζ+2ζ82ζ+2ζ82ζ+2ζ8−ζ−ζ82ζ+2ζ82ζ+2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8−2ζ−2ζ8−2ζ−2ζ8ζ+ζ8ζ+ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ800002ζ2+2ζ72ζ2+2ζ72ζ2+2ζ7−ζ2−ζ72ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7−2ζ2−2ζ7−2ζ2−2ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ70000000000000000000000000
χ117444-2-4-4-2-2-2002i3−2i32i3−2i3220000-2-2-212211100−i3i3−i3i3-1-100002ζ4+2ζ52ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−2ζ4−2ζ5−2ζ4−2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ500−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ4+ζ5ζ4+ζ500002ζ+2ζ82ζ+2ζ82ζ+2ζ8−ζ−ζ8−2ζ−2ζ8−2ζ−2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ800ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ8ζ+ζ800002ζ2+2ζ72ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−2ζ2−2ζ7−2ζ2−2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ2+ζ7ζ2+ζ70000000000000000000000000
χ118444-2-4-4-2-2-200−2i32i3−2i32i3220000-2-2-212211100i3−i3i3−i3-1-100002ζ4+2ζ52ζ4+2ζ52ζ4+2ζ5−ζ4−ζ5−2ζ4−2ζ5−2ζ4−2ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5002ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5ζ4+ζ5ζ4+ζ500002ζ+2ζ82ζ+2ζ82ζ+2ζ8−ζ−ζ8−2ζ−2ζ8−2ζ−2ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ800−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ+ζ8ζ+ζ800002ζ2+2ζ72ζ2+2ζ72ζ2+2ζ7−ζ2−ζ7−2ζ2−2ζ7−2ζ2−2ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ700−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5ζ2+ζ7ζ2+ζ70000000000000000000000000
χ11944-444-4-4-44000000-440000-2-22-2-2222-20000002-200002ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ52ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−2ζ4−2ζ5−2ζ4−2ζ52ζ4+2ζ5000000−2ζ4−2ζ52ζ4+2ζ500002ζ+2ζ82ζ+2ζ8−2ζ−2ζ82ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−2ζ−2ζ8−2ζ−2ζ82ζ+2ζ8000000−2ζ−2ζ82ζ+2ζ800002ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ72ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−2ζ2−2ζ7−2ζ2−2ζ72ζ2+2ζ7000000−2ζ2−2ζ72ζ2+2ζ70000000000000000000000000
χ12044-4-24-422-2002i3−2i3−2i32i32-20000-2-221-22-1-1100−i3i3i3−i3-1100002ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−ζ4−ζ52ζ4+2ζ5−2ζ4−2ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ500−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ52ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5ζ4+ζ5−ζ4−ζ500002ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−ζ−ζ82ζ+2ζ8−2ζ−2ζ8ζ+ζ8ζ+ζ8−ζ−ζ800ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ+ζ8−ζ−ζ800002ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−ζ2−ζ72ζ2+2ζ7−2ζ2−2ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ700ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5ζ2+ζ7−ζ2−ζ70000000000000000000000000
χ12144-4-24-422-200−2i32i32i3−2i32-20000-2-221-22-1-1100i3−i3−i3i3-1100002ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−ζ4−ζ52ζ4+2ζ5−2ζ4−2ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5002ζ+2ζ2+ζ4+ζ5−2ζ−2ζ2−ζ4−ζ5−2ζ−2ζ2−ζ4−ζ52ζ+2ζ2+ζ4+ζ5ζ4+ζ5−ζ4−ζ500002ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−ζ−ζ82ζ+2ζ8−2ζ−2ζ8ζ+ζ8ζ+ζ8−ζ−ζ800−ζ−ζ2−2ζ4+ζ5ζ+ζ2+2ζ4−ζ5ζ+ζ2+2ζ4−ζ5−ζ−ζ2−2ζ4+ζ5ζ+ζ8−ζ−ζ800002ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−ζ2−ζ72ζ2+2ζ7−2ζ2−2ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ700−ζ−ζ2+ζ4−2ζ5ζ+ζ2−ζ4+2ζ5ζ+ζ2−ζ4+2ζ5−ζ−ζ2+ζ4−2ζ5ζ2+ζ7−ζ2−ζ70000000000000000000000000
χ12244-4-2-4422-24-4-2-222-220000-2-2212-2-1-11-2211-1-11-100002ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−ζ4−ζ5−2ζ4−2ζ52ζ4+2ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ52ζ4+2ζ5−2ζ4−2ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5ζ4+ζ500002ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−ζ−ζ8−2ζ−2ζ82ζ+2ζ8ζ+ζ8ζ+ζ8−ζ−ζ82ζ+2ζ8−2ζ−2ζ8−ζ−ζ8−ζ−ζ8ζ+ζ8ζ+ζ8−ζ−ζ8ζ+ζ800002ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−ζ2−ζ7−2ζ2−2ζ72ζ2+2ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ72ζ2+2ζ7−2ζ2−2ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ70000000000000000000000000
χ12344-4-2-4422-2-4422-2-2-220000-2-2212-2-1-112-2-1-1111-100002ζ4+2ζ52ζ4+2ζ5−2ζ4−2ζ5−ζ4−ζ5−2ζ4−2ζ52ζ4+2ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−2ζ4−2ζ52ζ4+2ζ5ζ4+ζ5ζ4+ζ5−ζ4−ζ5−ζ4−ζ5−ζ4−ζ5ζ4+ζ500002ζ+2ζ82ζ+2ζ8−2ζ−2ζ8−ζ−ζ8−2ζ−2ζ82ζ+2ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−2ζ−2ζ82ζ+2ζ8ζ+ζ8ζ+ζ8−ζ−ζ8−ζ−ζ8−ζ−ζ8ζ+ζ800002ζ2+2ζ72ζ2+2ζ7−2ζ2−2ζ7−ζ2−ζ7−2ζ2−2ζ72ζ2+2ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−2ζ2−2ζ72ζ2+2ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ70000000000000000000000000
χ1248-8080000-8000000000000-440-4000040000000000004ζ4+4ζ5−4ζ4−4ζ504ζ4+4ζ50000−4ζ4−4ζ50000000000004ζ+4ζ8−4ζ−4ζ804ζ+4ζ80000−4ζ−4ζ80000000000004ζ2+4ζ7−4ζ2−4ζ704ζ2+4ζ70000−4ζ2−4ζ7000000000000000000000000000000000
χ1258-80-4004i3−4i34000000000000-440200−2i32i3-20000000000004ζ4+4ζ5−4ζ4−4ζ50−2ζ4−2ζ500−4ζ−4ζ2−2ζ4−2ζ54ζ+4ζ2+2ζ4+2ζ52ζ4+2ζ50000000000004ζ+4ζ8−4ζ−4ζ80−2ζ−2ζ8002ζ+2ζ2+4ζ4−2ζ5−2ζ−2ζ2−4ζ4+2ζ52ζ+2ζ80000000000004ζ2+4ζ7−4ζ2−4ζ70−2ζ2−2ζ7002ζ+2ζ2−2ζ4+4ζ5−2ζ−2ζ2+2ζ4−4ζ52ζ2+2ζ7000000000000000000000000000000000
χ1268-80-400−4i34i34000000000000-4402002i3−2i3-20000000000004ζ4+4ζ5−4ζ4−4ζ50−2ζ4−2ζ5004ζ+4ζ2+2ζ4+2ζ5−4ζ−4ζ2−2ζ4−2ζ52ζ4+2ζ50000000000004ζ+4ζ8−4ζ−4ζ80−2ζ−2ζ800−2ζ−2ζ2−4ζ4+2ζ52ζ+2ζ2+4ζ4−2ζ52ζ+2ζ80000000000004ζ2+4ζ7−4ζ2−4ζ70−2ζ2−2ζ700−2ζ−2ζ2+2ζ4−4ζ52ζ+2ζ2−2ζ4+4ζ52ζ2+2ζ7000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.